Necessary and Sufficient Conditions for a 1-D DBCNN with an Input to Be Stable in terms of Connection Coefficients

Tetsuo NISHI  Hajime HARA  Norikazu TAKAHASHI  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A   No.10   pp.2825-2832
Publication Date: 2006/10/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.10.2825
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications)
Category: Control, Neural Networks and Learning
1-D DBCNN,  CNN,  stability,  nonzero input,  

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We give necessary and sufficient conditions for a 1-D DBCNN (1-dimensional discrete-time binary cellular neural network) with an external input to be stable in terms of connection coefficients. The results are generalization of our previous one [18],[19] in which the input was assumed to be zero.